2018/03/26 by Juanjuan Xu, Xu, Juanjuan, Huanshui Zhang +1
Computer Science · Engineering · #49K15 #93D15 #Distributed Control Multi-Agent Systems #FOS: Mathematics #Neural Networks Stability and Synchronization #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems
paper · pdf · doi:10.48550/arxiv.1803.09412
openalex publication_date 2018/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The consensus control with optimal cost remains major challenging although consensus control problems have been well studied in recent years. In this paper, we study the consensus control of multi-agent system associated with a given cost function. The main contribution is to present the distributed control protocol while minimizing the given cost function with positive semi-definite weighting matrix of control. The derived controller is composed of two parts: One part is the feedback of the individual state which minimizes the cost function and the other part is the feedback of the relative states between the neighbours which guarantees the consensus. The presented results are new to the best of our knowledge.